Pipes and Cisterns Practice Test 1 with solutions

Question : 20 of 40

Marks: +1, -0

A cistern is connected with two pipes. An inlet pipe can fill the cistern in 40 minutes and an outlet pipe can empty it in 2 hours 40 minutes. Both the pipes were opened together before the outlet pipe was closed after 12 minutes. Find the time taken by the inlet pipe to fill the remaining part of the cistern.

37 minutes
40 minutes
33 minutes
31 minutes
35 minutes

Validate

Solution:

Part of cistern filled by A and B is 12 minutes
=

12 × (1/{40}-1/{160})

12 ×({4-1}/{160})

12 × 3/{160}

9/{40}

Remaining part = 1 -

9/{40}

{31}/{40}

Time taken by A to fill the cistern = 40 minutes
Time taken by A to fill

({31}/{40})

th part of the cistern = 40 ×

{31}/{40}

= 31 minutes

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